The situations below can be answered using ONE of the methods below. Mention and

Question

The situations below can be answered using ONE of the methods below. Mention and briefly explain WHY.

1) One sample mean test 2) Two independent sample mean test 3) Two dependent sample mean test 4) One sample proportion test 5) Two independent sample proportion test 6) Two dependent sample proportion test 7) Confidence interval for a mean 8) Confidence interval for a proportion 9) Test of homogeneity 10) Test of independence 11) Test of goodness of fit 12) Test of differences in variability between two samples 13) Linear correlation 14) ANOVA

Explanation / Answer

1.

Here we have single sample, want to compare population mean with 22 minutes and popualtion standard deviation is unkwon so single sample t test will used. Option (1) is correct.

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2.

Here we want to compare proportions coming from two samples. So Two independent sample proportion test wil be used.

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New parts :

(a)

Here we want to test whether distibution of new ratings fitted to distribution of old rating or not. So chi sqaure test for goodness of fit will be used.

(b)

Here we have three groups (3 treatments) and researcher want to compare the mean number of minutes takes to sleep by dfiferent groups. That is reseacher want to comapre more than 2 means. So ANOVA will be used.

(c)

Confidence inetravl for proportion will be used.

(d)

Here reseacher want to know relationship between the variables  age and cholesterol readings. So Linear correlation will be used.

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